TSTP Solution File: SWC115-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC115-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pLk6J8wWME true
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:29:15 EDT 2023
% Result : Unsatisfiable 141.14s 20.83s
% Output : Refutation 141.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWC115-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pLk6J8wWME true
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 16:43:26 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in FO mode
% 0.19/0.58 % Total configuration time : 435
% 0.19/0.58 % Estimated wc time : 1092
% 0.19/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.85/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.85/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.85/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.85/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.85/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.85/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 141.14/20.83 % Solved by fo/fo6_bce.sh.
% 141.14/20.83 % BCE start: 201
% 141.14/20.83 % BCE eliminated: 2
% 141.14/20.83 % PE start: 199
% 141.14/20.83 logic: eq
% 141.14/20.83 % PE eliminated: 7
% 141.14/20.83 % done 4516 iterations in 20.112s
% 141.14/20.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 141.14/20.83 % SZS output start Refutation
% 141.14/20.83 thf(nil_type, type, nil: $i).
% 141.14/20.83 thf(cons_type, type, cons: $i > $i > $i).
% 141.14/20.83 thf(sk2_type, type, sk2: $i).
% 141.14/20.83 thf(sk4_type, type, sk4: $i).
% 141.14/20.83 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 141.14/20.83 thf(skaf42_type, type, skaf42: $i > $i > $i).
% 141.14/20.83 thf(tl_type, type, tl: $i > $i).
% 141.14/20.83 thf(memberP_type, type, memberP: $i > $i > $o).
% 141.14/20.83 thf(hd_type, type, hd: $i > $i).
% 141.14/20.83 thf(ssItem_type, type, ssItem: $i > $o).
% 141.14/20.83 thf(skaf43_type, type, skaf43: $i > $i > $i).
% 141.14/20.83 thf(skaf82_type, type, skaf82: $i > $i).
% 141.14/20.83 thf(sk5_type, type, sk5: $i).
% 141.14/20.83 thf(sk3_type, type, sk3: $i).
% 141.14/20.83 thf(neq_type, type, neq: $i > $i > $o).
% 141.14/20.83 thf(app_type, type, app: $i > $i > $i).
% 141.14/20.83 thf(ssList_type, type, ssList: $i > $o).
% 141.14/20.83 thf(sk1_type, type, sk1: $i).
% 141.14/20.83 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 141.14/20.83 thf(co1_14, conjecture,
% 141.14/20.83 (~( ( ( nil ) = ( sk3 ) ) | ( memberP @ sk4 @ sk5 ) ))).
% 141.14/20.83 thf(zf_stmt_0, negated_conjecture,
% 141.14/20.83 (( ( nil ) = ( sk3 ) ) | ( memberP @ sk4 @ sk5 )),
% 141.14/20.83 inference('cnf.neg', [status(esa)], [co1_14])).
% 141.14/20.83 thf(zip_derived_cl198, plain, ((((nil) = (sk3)) | (memberP @ sk4 @ sk5))),
% 141.14/20.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 141.14/20.83 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 141.14/20.83 thf(zf_stmt_1, negated_conjecture, (( sk1 ) = ( sk3 )),
% 141.14/20.83 inference('cnf.neg', [status(esa)], [co1_6])).
% 141.14/20.83 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 141.14/20.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 141.14/20.83 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 141.14/20.83 thf(zf_stmt_2, negated_conjecture, (( sk2 ) = ( sk4 )),
% 141.14/20.83 inference('cnf.neg', [status(esa)], [co1_5])).
% 141.14/20.83 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 141.14/20.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 141.14/20.83 thf(zip_derived_cl1398, plain, ((((nil) = (sk1)) | (memberP @ sk2 @ sk5))),
% 141.14/20.83 inference('demod', [status(thm)],
% 141.14/20.83 [zip_derived_cl198, zip_derived_cl190, zip_derived_cl189])).
% 141.14/20.83 thf(co1_10, conjecture,
% 141.14/20.83 (~( ( ( nil ) = ( sk4 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) ) ))).
% 141.14/20.83 thf(zf_stmt_3, negated_conjecture,
% 141.14/20.83 (( ( nil ) = ( sk4 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) )),
% 141.14/20.83 inference('cnf.neg', [status(esa)], [co1_10])).
% 141.14/20.83 thf(zip_derived_cl194, plain,
% 141.14/20.83 ((((nil) = (sk4)) | ((cons @ sk5 @ nil) = (sk3)))),
% 141.14/20.83 inference('cnf', [status(esa)], [zf_stmt_3])).
% 141.14/20.83 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 141.14/20.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 141.14/20.83 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 141.14/20.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 141.14/20.83 thf(zip_derived_cl1384, plain,
% 141.14/20.83 ((((nil) = (sk2)) | ((cons @ sk5 @ nil) = (sk1)))),
% 141.14/20.83 inference('demod', [status(thm)],
% 141.14/20.83 [zip_derived_cl194, zip_derived_cl189, zip_derived_cl190])).
% 141.14/20.83 thf(clause96, axiom,
% 141.14/20.83 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 141.14/20.83 ( ( tl @ ( cons @ U @ V ) ) = ( V ) ))).
% 141.14/20.83 thf(zip_derived_cl95, plain,
% 141.14/20.83 (![X0 : $i, X1 : $i]:
% 141.14/20.83 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 141.14/20.83 inference('cnf', [status(esa)], [clause96])).
% 141.14/20.83 thf(zip_derived_cl1481, plain,
% 141.14/20.83 ((((nil) = (sk2))
% 141.14/20.83 | ~ (ssItem @ sk5)
% 141.14/20.83 | ~ (ssList @ nil)
% 141.14/20.83 | ((tl @ sk1) = (nil)))),
% 141.14/20.83 inference('s_sup+', [status(thm)], [zip_derived_cl1384, zip_derived_cl95])).
% 141.14/20.83 thf(clause8, axiom, (ssList @ nil)).
% 141.14/20.83 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 141.14/20.83 inference('cnf', [status(esa)], [clause8])).
% 141.14/20.83 thf(zip_derived_cl1483, plain,
% 141.14/20.83 ((((nil) = (sk2)) | ~ (ssItem @ sk5) | ((tl @ sk1) = (nil)))),
% 141.14/20.83 inference('demod', [status(thm)], [zip_derived_cl1481, zip_derived_cl7])).
% 141.14/20.83 thf(co1_8, conjecture, (~( ( ( nil ) = ( sk4 ) ) | ( ssItem @ sk5 ) ))).
% 141.14/20.83 thf(zf_stmt_4, negated_conjecture,
% 141.14/20.83 (( ( nil ) = ( sk4 ) ) | ( ssItem @ sk5 )),
% 141.14/20.83 inference('cnf.neg', [status(esa)], [co1_8])).
% 141.14/20.83 thf(zip_derived_cl192, plain, ((((nil) = (sk4)) | (ssItem @ sk5))),
% 141.14/20.83 inference('cnf', [status(esa)], [zf_stmt_4])).
% 141.14/20.83 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 141.14/20.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 141.14/20.83 thf(zip_derived_cl1394, plain, ((((nil) = (sk2)) | (ssItem @ sk5))),
% 141.14/20.83 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl189])).
% 141.14/20.83 thf(zip_derived_cl1485, plain, ((((tl @ sk1) = (nil)) | ((nil) = (sk2)))),
% 141.14/20.83 inference('clc', [status(thm)], [zip_derived_cl1483, zip_derived_cl1394])).
% 141.14/20.83 thf(zip_derived_cl1394, plain, ((((nil) = (sk2)) | (ssItem @ sk5))),
% 141.14/20.83 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl189])).
% 141.14/20.83 thf(co1_9, conjecture, (~( ( ( nil ) = ( sk3 ) ) | ( ssItem @ sk5 ) ))).
% 141.14/20.83 thf(zf_stmt_5, negated_conjecture,
% 141.14/20.83 (( ( nil ) = ( sk3 ) ) | ( ssItem @ sk5 )),
% 141.14/20.83 inference('cnf.neg', [status(esa)], [co1_9])).
% 141.14/20.83 thf(zip_derived_cl193, plain, ((((nil) = (sk3)) | (ssItem @ sk5))),
% 141.14/20.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 141.14/20.83 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 141.14/20.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 141.14/20.83 thf(zip_derived_cl1396, plain, ((((nil) = (sk1)) | (ssItem @ sk5))),
% 141.14/20.83 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl190])).
% 141.14/20.83 thf(co1_13, conjecture,
% 141.14/20.83 (~( ( ( nil ) = ( sk3 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) ) ))).
% 141.14/20.83 thf(zf_stmt_6, negated_conjecture,
% 141.14/20.83 (( ( nil ) = ( sk3 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) )),
% 141.14/20.83 inference('cnf.neg', [status(esa)], [co1_13])).
% 141.14/20.83 thf(zip_derived_cl197, plain,
% 141.14/20.83 ((((nil) = (sk3)) | ((cons @ sk5 @ nil) = (sk3)))),
% 141.14/20.83 inference('cnf', [status(esa)], [zf_stmt_6])).
% 141.14/20.83 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 141.14/20.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 141.14/20.83 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 141.14/20.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 141.14/20.83 thf(zip_derived_cl1385, plain,
% 141.14/20.83 ((((nil) = (sk1)) | ((cons @ sk5 @ nil) = (sk1)))),
% 141.14/20.83 inference('demod', [status(thm)],
% 141.14/20.83 [zip_derived_cl197, zip_derived_cl190, zip_derived_cl190])).
% 141.14/20.83 thf(clause97, axiom,
% 141.14/20.83 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 141.14/20.83 ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 141.14/20.83 thf(zip_derived_cl96, plain,
% 141.14/20.83 (![X0 : $i, X1 : $i]:
% 141.14/20.83 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 141.14/20.83 inference('cnf', [status(esa)], [clause97])).
% 141.14/20.83 thf(zip_derived_cl1503, plain,
% 141.14/20.83 ((((nil) = (sk1))
% 141.14/20.83 | ~ (ssItem @ sk5)
% 141.14/20.83 | ~ (ssList @ nil)
% 141.14/20.83 | ((hd @ sk1) = (sk5)))),
% 141.14/20.83 inference('s_sup+', [status(thm)], [zip_derived_cl1385, zip_derived_cl96])).
% 141.14/20.83 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 141.14/20.83 inference('cnf', [status(esa)], [clause8])).
% 141.14/20.83 thf(zip_derived_cl1505, plain,
% 141.14/20.83 ((((nil) = (sk1)) | ~ (ssItem @ sk5) | ((hd @ sk1) = (sk5)))),
% 141.14/20.83 inference('demod', [status(thm)], [zip_derived_cl1503, zip_derived_cl7])).
% 141.14/20.83 thf(zip_derived_cl1384, plain,
% 141.14/20.83 ((((nil) = (sk2)) | ((cons @ sk5 @ nil) = (sk1)))),
% 141.14/20.83 inference('demod', [status(thm)],
% 141.14/20.83 [zip_derived_cl194, zip_derived_cl189, zip_derived_cl190])).
% 141.14/20.83 thf(clause99, axiom,
% 141.14/20.83 (( ( cons @ U @ V ) != ( V ) ) | ( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ))).
% 141.14/20.83 thf(zip_derived_cl98, plain,
% 141.14/20.83 (![X0 : $i, X1 : $i]:
% 141.14/20.83 (((cons @ X1 @ X0) != (X0)) | ~ (ssItem @ X1) | ~ (ssList @ X0))),
% 141.14/20.83 inference('cnf', [status(esa)], [clause99])).
% 141.14/20.83 thf(zip_derived_cl1388, plain,
% 141.14/20.83 ((((nil) = (sk2))
% 141.14/20.83 | ((sk1) != (nil))
% 141.14/20.83 | ~ (ssItem @ sk5)
% 141.14/20.83 | ~ (ssList @ nil))),
% 141.14/20.83 inference('s_sup-', [status(thm)], [zip_derived_cl1384, zip_derived_cl98])).
% 141.14/20.83 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 141.14/20.83 inference('cnf', [status(esa)], [clause8])).
% 141.14/20.83 thf(zip_derived_cl1390, plain,
% 141.14/20.83 ((((nil) = (sk2)) | ((sk1) != (nil)) | ~ (ssItem @ sk5))),
% 141.14/20.83 inference('demod', [status(thm)], [zip_derived_cl1388, zip_derived_cl7])).
% 141.14/20.83 thf(co1_7, conjecture,
% 141.14/20.83 (~( ( ( nil ) != ( sk1 ) ) | ( ( nil ) != ( sk2 ) ) ))).
% 141.14/20.83 thf(zf_stmt_7, negated_conjecture,
% 141.14/20.83 (( ( nil ) != ( sk1 ) ) | ( ( nil ) != ( sk2 ) )),
% 141.14/20.83 inference('cnf.neg', [status(esa)], [co1_7])).
% 141.14/20.83 thf(zip_derived_cl191, plain, ((((nil) != (sk1)) | ((nil) != (sk2)))),
% 141.14/20.83 inference('cnf', [status(esa)], [zf_stmt_7])).
% 141.14/20.83 thf(zip_derived_cl1395, plain, ((~ (ssItem @ sk5) | ((sk1) != (nil)))),
% 141.14/20.83 inference('clc', [status(thm)], [zip_derived_cl1390, zip_derived_cl191])).
% 141.14/20.83 thf(zip_derived_cl1530, plain, ((((hd @ sk1) = (sk5)) | ~ (ssItem @ sk5))),
% 141.14/20.83 inference('clc', [status(thm)], [zip_derived_cl1505, zip_derived_cl1395])).
% 141.14/20.83 thf(zip_derived_cl1532, plain, ((((nil) = (sk1)) | ((hd @ sk1) = (sk5)))),
% 141.14/20.83 inference('s_sup-', [status(thm)],
% 141.14/20.83 [zip_derived_cl1396, zip_derived_cl1530])).
% 141.14/20.83 thf(clause104, axiom,
% 141.14/20.83 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 141.14/20.83 ( ( nil ) = ( U ) ))).
% 141.14/20.83 thf(zip_derived_cl103, plain,
% 141.14/20.83 (![X0 : $i]:
% 141.14/20.83 (~ (ssList @ X0)
% 141.14/20.83 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 141.14/20.83 | ((nil) = (X0)))),
% 141.14/20.83 inference('cnf', [status(esa)], [clause104])).
% 141.14/20.83 thf(zip_derived_cl1534, plain,
% 141.14/20.83 ((((nil) = (sk1))
% 141.14/20.83 | ~ (ssList @ sk1)
% 141.14/20.83 | ((cons @ sk5 @ (tl @ sk1)) = (sk1))
% 141.14/20.83 | ((nil) = (sk1)))),
% 141.14/20.83 inference('s_sup+', [status(thm)],
% 141.14/20.83 [zip_derived_cl1532, zip_derived_cl103])).
% 141.14/20.83 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 141.14/20.83 thf(zf_stmt_8, negated_conjecture, (ssList @ sk1),
% 141.14/20.83 inference('cnf.neg', [status(esa)], [co1_1])).
% 141.14/20.83 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 141.14/20.83 inference('cnf', [status(esa)], [zf_stmt_8])).
% 141.14/20.83 thf(zip_derived_cl1537, plain,
% 141.14/20.83 ((((nil) = (sk1)) | ((cons @ sk5 @ (tl @ sk1)) = (sk1)) | ((nil) = (sk1)))),
% 141.14/20.83 inference('demod', [status(thm)], [zip_derived_cl1534, zip_derived_cl185])).
% 141.14/20.83 thf(zip_derived_cl1538, plain,
% 141.14/20.83 ((((cons @ sk5 @ (tl @ sk1)) = (sk1)) | ((nil) = (sk1)))),
% 141.14/20.83 inference('simplify', [status(thm)], [zip_derived_cl1537])).
% 141.14/20.83 thf(zip_derived_cl98, plain,
% 141.14/20.83 (![X0 : $i, X1 : $i]:
% 141.14/20.83 (((cons @ X1 @ X0) != (X0)) | ~ (ssItem @ X1) | ~ (ssList @ X0))),
% 141.14/20.83 inference('cnf', [status(esa)], [clause99])).
% 141.14/20.83 thf(zip_derived_cl1578, plain,
% 141.14/20.83 ((((nil) = (sk1))
% 141.14/20.83 | ((sk1) != (tl @ sk1))
% 141.14/20.83 | ~ (ssItem @ sk5)
% 141.14/20.83 | ~ (ssList @ (tl @ sk1)))),
% 141.14/20.83 inference('s_sup-', [status(thm)], [zip_derived_cl1538, zip_derived_cl98])).
% 141.14/20.83 thf(zip_derived_cl1395, plain, ((~ (ssItem @ sk5) | ((sk1) != (nil)))),
% 141.14/20.83 inference('clc', [status(thm)], [zip_derived_cl1390, zip_derived_cl191])).
% 141.14/20.83 thf(zip_derived_cl1649, plain,
% 141.14/20.83 ((~ (ssList @ (tl @ sk1)) | ~ (ssItem @ sk5) | ((sk1) != (tl @ sk1)))),
% 141.14/20.83 inference('clc', [status(thm)], [zip_derived_cl1578, zip_derived_cl1395])).
% 141.14/20.83 thf(zip_derived_cl1650, plain,
% 141.14/20.83 ((((nil) = (sk2)) | ~ (ssList @ (tl @ sk1)) | ((sk1) != (tl @ sk1)))),
% 141.14/20.83 inference('s_sup-', [status(thm)],
% 141.14/20.83 [zip_derived_cl1394, zip_derived_cl1649])).
% 141.14/20.83 thf(zip_derived_cl1652, plain,
% 141.14/20.83 ((((nil) = (sk2)) | ((nil) = (sk2)) | ~ (ssList @ nil) | ((sk1) != (nil)))),
% 141.14/20.83 inference('s_sup-', [status(thm)],
% 141.14/20.83 [zip_derived_cl1485, zip_derived_cl1650])).
% 141.14/20.83 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 141.14/20.83 inference('cnf', [status(esa)], [clause8])).
% 141.14/20.83 thf(zip_derived_cl1654, plain,
% 141.14/20.83 ((((nil) = (sk2)) | ((nil) = (sk2)) | ((sk1) != (nil)))),
% 141.14/20.83 inference('demod', [status(thm)], [zip_derived_cl1652, zip_derived_cl7])).
% 141.14/20.83 thf(zip_derived_cl1655, plain, ((((sk1) != (nil)) | ((nil) = (sk2)))),
% 141.14/20.83 inference('simplify', [status(thm)], [zip_derived_cl1654])).
% 141.14/20.83 thf(zip_derived_cl191, plain, ((((nil) != (sk1)) | ((nil) != (sk2)))),
% 141.14/20.83 inference('cnf', [status(esa)], [zf_stmt_7])).
% 141.14/20.83 thf(zip_derived_cl1667, plain, (((sk1) != (nil))),
% 141.14/20.83 inference('clc', [status(thm)], [zip_derived_cl1655, zip_derived_cl191])).
% 141.14/20.83 thf(zip_derived_cl57209, plain, ( (memberP @ sk2 @ sk5)),
% 141.14/20.83 inference('simplify_reflect-', [status(thm)],
% 141.14/20.83 [zip_derived_cl1398, zip_derived_cl1667])).
% 141.14/20.83 thf(co1_11, conjecture,
% 141.14/20.83 (~( ( ( nil ) = ( sk4 ) ) | ( memberP @ sk4 @ sk5 ) ))).
% 141.14/20.83 thf(zf_stmt_9, negated_conjecture,
% 141.14/20.83 (( ( nil ) = ( sk4 ) ) | ( memberP @ sk4 @ sk5 )),
% 141.14/20.83 inference('cnf.neg', [status(esa)], [co1_11])).
% 141.14/20.83 thf(zip_derived_cl195, plain, ((((nil) = (sk4)) | (memberP @ sk4 @ sk5))),
% 141.14/20.83 inference('cnf', [status(esa)], [zf_stmt_9])).
% 141.14/20.83 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 141.14/20.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 141.14/20.83 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 141.14/20.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 141.14/20.83 thf(zip_derived_cl1397, plain, ((((nil) = (sk2)) | (memberP @ sk2 @ sk5))),
% 141.14/20.83 inference('demod', [status(thm)],
% 141.14/20.83 [zip_derived_cl195, zip_derived_cl189, zip_derived_cl189])).
% 141.14/20.83 thf(clause169, axiom,
% 141.14/20.83 (( ~( memberP @ U @ V ) ) | ( ~( ssItem @ V ) ) | ( ~( ssList @ U ) ) |
% 141.14/20.83 ( ( app @ ( skaf42 @ U @ V ) @ ( cons @ V @ ( skaf43 @ V @ U ) ) ) = ( U ) ))).
% 141.14/20.83 thf(zip_derived_cl168, plain,
% 141.14/20.83 (![X0 : $i, X1 : $i]:
% 141.14/20.83 (~ (memberP @ X0 @ X1)
% 141.14/20.83 | ~ (ssItem @ X1)
% 141.14/20.83 | ~ (ssList @ X0)
% 141.14/20.83 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 141.14/20.83 = (X0)))),
% 141.14/20.83 inference('cnf', [status(esa)], [clause169])).
% 141.14/20.83 thf(clause85, axiom,
% 141.14/20.83 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 141.14/20.83 thf(zip_derived_cl84, plain,
% 141.14/20.83 (![X0 : $i, X1 : $i]:
% 141.14/20.83 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 141.14/20.83 inference('cnf', [status(esa)], [clause85])).
% 141.14/20.83 thf(zip_derived_cl1398, plain, ((((nil) = (sk1)) | (memberP @ sk2 @ sk5))),
% 141.14/20.83 inference('demod', [status(thm)],
% 141.14/20.83 [zip_derived_cl198, zip_derived_cl190, zip_derived_cl189])).
% 141.14/20.83 thf(zip_derived_cl1538, plain,
% 141.14/20.83 ((((cons @ sk5 @ (tl @ sk1)) = (sk1)) | ((nil) = (sk1)))),
% 141.14/20.83 inference('simplify', [status(thm)], [zip_derived_cl1537])).
% 141.14/20.83 thf(clause76, axiom,
% 141.14/20.83 (( ~( ssList @ U ) ) | ( ssItem @ ( hd @ U ) ) | ( ( nil ) = ( U ) ))).
% 141.14/20.83 thf(zip_derived_cl75, plain,
% 141.14/20.83 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 141.14/20.83 inference('cnf', [status(esa)], [clause76])).
% 141.14/20.83 thf(zip_derived_cl1396, plain, ((((nil) = (sk1)) | (ssItem @ sk5))),
% 141.14/20.83 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl190])).
% 141.14/20.83 thf(zip_derived_cl1385, plain,
% 141.14/20.83 ((((nil) = (sk1)) | ((cons @ sk5 @ nil) = (sk1)))),
% 141.14/20.83 inference('demod', [status(thm)],
% 141.14/20.83 [zip_derived_cl197, zip_derived_cl190, zip_derived_cl190])).
% 141.14/20.83 thf(zip_derived_cl95, plain,
% 141.14/20.83 (![X0 : $i, X1 : $i]:
% 141.14/20.83 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 141.14/20.83 inference('cnf', [status(esa)], [clause96])).
% 141.14/20.83 thf(zip_derived_cl1482, plain,
% 141.14/20.83 ((((nil) = (sk1))
% 141.14/20.83 | ~ (ssItem @ sk5)
% 141.14/20.83 | ~ (ssList @ nil)
% 141.14/20.83 | ((tl @ sk1) = (nil)))),
% 141.14/20.83 inference('s_sup+', [status(thm)], [zip_derived_cl1385, zip_derived_cl95])).
% 141.14/20.83 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 141.14/20.83 inference('cnf', [status(esa)], [clause8])).
% 141.14/20.83 thf(zip_derived_cl1484, plain,
% 141.14/20.83 ((((nil) = (sk1)) | ~ (ssItem @ sk5) | ((tl @ sk1) = (nil)))),
% 141.14/20.83 inference('demod', [status(thm)], [zip_derived_cl1482, zip_derived_cl7])).
% 141.14/20.83 thf(zip_derived_cl1395, plain, ((~ (ssItem @ sk5) | ((sk1) != (nil)))),
% 141.14/20.83 inference('clc', [status(thm)], [zip_derived_cl1390, zip_derived_cl191])).
% 141.14/20.83 thf(zip_derived_cl1490, plain, ((((tl @ sk1) = (nil)) | ~ (ssItem @ sk5))),
% 141.14/20.83 inference('clc', [status(thm)], [zip_derived_cl1484, zip_derived_cl1395])).
% 141.14/20.83 thf(zip_derived_cl1492, plain, ((((nil) = (sk1)) | ((tl @ sk1) = (nil)))),
% 141.14/20.83 inference('s_sup-', [status(thm)],
% 141.14/20.83 [zip_derived_cl1396, zip_derived_cl1490])).
% 141.14/20.83 thf(zip_derived_cl103, plain,
% 141.14/20.83 (![X0 : $i]:
% 141.14/20.83 (~ (ssList @ X0)
% 141.14/20.83 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 141.14/20.83 | ((nil) = (X0)))),
% 141.14/20.83 inference('cnf', [status(esa)], [clause104])).
% 141.14/20.83 thf(zip_derived_cl1494, plain,
% 141.14/20.83 ((((nil) = (sk1))
% 141.14/20.83 | ~ (ssList @ sk1)
% 141.14/20.83 | ((cons @ (hd @ sk1) @ nil) = (sk1))
% 141.14/20.83 | ((nil) = (sk1)))),
% 141.14/20.83 inference('s_sup+', [status(thm)],
% 141.14/20.83 [zip_derived_cl1492, zip_derived_cl103])).
% 141.14/20.83 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 141.14/20.83 inference('cnf', [status(esa)], [zf_stmt_8])).
% 141.14/20.83 thf(zip_derived_cl1497, plain,
% 141.14/20.83 ((((nil) = (sk1)) | ((cons @ (hd @ sk1) @ nil) = (sk1)) | ((nil) = (sk1)))),
% 141.14/20.83 inference('demod', [status(thm)], [zip_derived_cl1494, zip_derived_cl185])).
% 141.14/20.83 thf(zip_derived_cl1498, plain,
% 141.14/20.83 ((((cons @ (hd @ sk1) @ nil) = (sk1)) | ((nil) = (sk1)))),
% 141.14/20.83 inference('simplify', [status(thm)], [zip_derived_cl1497])).
% 141.14/20.83 thf(zip_derived_cl95, plain,
% 141.14/20.83 (![X0 : $i, X1 : $i]:
% 141.14/20.83 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 141.14/20.83 inference('cnf', [status(esa)], [clause96])).
% 141.14/20.83 thf(zip_derived_cl1558, plain,
% 141.14/20.83 ((((nil) = (sk1))
% 141.14/20.83 | ~ (ssItem @ (hd @ sk1))
% 141.14/20.83 | ~ (ssList @ nil)
% 141.14/20.83 | ((tl @ sk1) = (nil)))),
% 141.14/20.83 inference('s_sup+', [status(thm)], [zip_derived_cl1498, zip_derived_cl95])).
% 141.14/20.83 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 141.14/20.83 inference('cnf', [status(esa)], [clause8])).
% 141.14/20.83 thf(zip_derived_cl1569, plain,
% 141.14/20.83 ((((nil) = (sk1)) | ~ (ssItem @ (hd @ sk1)) | ((tl @ sk1) = (nil)))),
% 141.14/20.83 inference('demod', [status(thm)], [zip_derived_cl1558, zip_derived_cl7])).
% 141.14/20.83 thf(zip_derived_cl1667, plain, (((sk1) != (nil))),
% 141.14/20.83 inference('clc', [status(thm)], [zip_derived_cl1655, zip_derived_cl191])).
% 141.14/20.83 thf(zip_derived_cl1685, plain,
% 141.14/20.83 ((~ (ssItem @ (hd @ sk1)) | ((tl @ sk1) = (nil)))),
% 141.14/20.83 inference('simplify_reflect-', [status(thm)],
% 141.14/20.83 [zip_derived_cl1569, zip_derived_cl1667])).
% 141.14/20.83 thf(zip_derived_cl1686, plain,
% 141.14/20.83 ((((nil) = (sk1)) | ~ (ssList @ sk1) | ((tl @ sk1) = (nil)))),
% 141.14/20.83 inference('s_sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl1685])).
% 141.14/20.83 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 141.14/20.83 inference('cnf', [status(esa)], [zf_stmt_8])).
% 141.14/20.83 thf(zip_derived_cl1689, plain, ((((nil) = (sk1)) | ((tl @ sk1) = (nil)))),
% 141.14/20.83 inference('demod', [status(thm)], [zip_derived_cl1686, zip_derived_cl185])).
% 141.14/20.83 thf(zip_derived_cl1667, plain, (((sk1) != (nil))),
% 141.14/20.83 inference('clc', [status(thm)], [zip_derived_cl1655, zip_derived_cl191])).
% 141.14/20.83 thf(zip_derived_cl1690, plain, (((tl @ sk1) = (nil))),
% 141.14/20.83 inference('simplify_reflect-', [status(thm)],
% 141.14/20.83 [zip_derived_cl1689, zip_derived_cl1667])).
% 141.14/20.83 thf(zip_derived_cl1720, plain,
% 141.14/20.83 ((((cons @ sk5 @ nil) = (sk1)) | ((nil) = (sk1)))),
% 141.14/20.83 inference('demod', [status(thm)],
% 141.14/20.83 [zip_derived_cl1538, zip_derived_cl1690])).
% 141.14/20.83 thf(zip_derived_cl1667, plain, (((sk1) != (nil))),
% 141.14/20.83 inference('clc', [status(thm)], [zip_derived_cl1655, zip_derived_cl191])).
% 141.14/20.83 thf(zip_derived_cl1721, plain, (((cons @ sk5 @ nil) = (sk1))),
% 141.14/20.83 inference('simplify_reflect-', [status(thm)],
% 141.14/20.83 [zip_derived_cl1720, zip_derived_cl1667])).
% 141.14/20.83 thf(zip_derived_cl168, plain,
% 141.14/20.83 (![X0 : $i, X1 : $i]:
% 141.14/20.83 (~ (memberP @ X0 @ X1)
% 141.14/20.83 | ~ (ssItem @ X1)
% 141.14/20.83 | ~ (ssList @ X0)
% 141.14/20.83 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 141.14/20.83 = (X0)))),
% 141.14/20.83 inference('cnf', [status(esa)], [clause169])).
% 141.14/20.83 thf(clause72, axiom,
% 141.14/20.83 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 141.14/20.83 thf(zip_derived_cl71, plain,
% 141.14/20.83 (![X0 : $i, X1 : $i]:
% 141.14/20.83 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 141.14/20.83 inference('cnf', [status(esa)], [clause72])).
% 141.14/20.83 thf(clause179, axiom,
% 141.14/20.83 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 141.14/20.83 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 141.14/20.83 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 141.14/20.83 thf(zip_derived_cl178, plain,
% 141.14/20.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 141.14/20.83 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 141.14/20.83 | ~ (ssList @ X4)
% 141.14/20.83 | ~ (ssList @ X3)
% 141.14/20.83 | ~ (ssList @ X1)
% 141.14/20.83 | ~ (ssItem @ X2)
% 141.14/20.83 | ~ (duplicatefreeP @ X0)
% 141.14/20.83 | ~ (ssList @ X0))),
% 141.14/20.83 inference('cnf', [status(esa)], [clause179])).
% 141.14/20.83 thf(zip_derived_cl1363, plain,
% 141.14/20.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 141.14/20.83 ( (ssItem @ X1)
% 141.14/20.83 | ~ (ssList @ X0)
% 141.14/20.83 | ~ (ssList @ X0)
% 141.14/20.83 | ~ (ssItem @ X3)
% 141.14/20.83 | ~ (ssList @ X5)
% 141.14/20.83 | ~ (ssList @ X4)
% 141.14/20.83 | ~ (ssList @ X2)
% 141.14/20.83 | ((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0)))),
% 141.14/20.83 inference('dp-resolution', [status(thm)],
% 141.14/20.83 [zip_derived_cl71, zip_derived_cl178])).
% 141.14/20.83 thf(zip_derived_cl3736, plain,
% 141.14/20.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 141.14/20.83 (((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0))
% 141.14/20.83 | ~ (ssList @ X2)
% 141.14/20.83 | ~ (ssList @ X4)
% 141.14/20.83 | ~ (ssList @ X5)
% 141.14/20.83 | ~ (ssItem @ X3)
% 141.14/20.83 | ~ (ssList @ X0)
% 141.14/20.83 | (ssItem @ X1))),
% 141.14/20.83 inference('simplify', [status(thm)], [zip_derived_cl1363])).
% 141.14/20.83 thf(zip_derived_cl3747, plain,
% 141.14/20.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 141.14/20.83 (~ (ssList @ X0)
% 141.14/20.83 | ~ (ssItem @ X3)
% 141.14/20.83 | ~ (memberP @ X0 @ X3)
% 141.14/20.83 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 141.14/20.83 | ~ (ssList @ X2)
% 141.14/20.83 | ~ (ssList @ (skaf43 @ X3 @ X0))
% 141.14/20.83 | ~ (ssList @ (skaf42 @ X0 @ X3))
% 141.14/20.83 | ~ (ssItem @ X3)
% 141.14/20.83 | ~ (ssList @ X1)
% 141.14/20.83 | (ssItem @ X4))),
% 141.14/20.83 inference('s_sup-', [status(thm)],
% 141.14/20.83 [zip_derived_cl168, zip_derived_cl3736])).
% 141.14/20.83 thf(clause52, axiom, (ssList @ ( skaf43 @ U @ V ))).
% 141.14/20.83 thf(zip_derived_cl51, plain,
% 141.14/20.83 (![X0 : $i, X1 : $i]: (ssList @ (skaf43 @ X0 @ X1))),
% 141.14/20.83 inference('cnf', [status(esa)], [clause52])).
% 141.14/20.83 thf(clause53, axiom, (ssList @ ( skaf42 @ U @ V ))).
% 141.14/20.83 thf(zip_derived_cl52, plain,
% 141.14/20.83 (![X0 : $i, X1 : $i]: (ssList @ (skaf42 @ X0 @ X1))),
% 141.14/20.83 inference('cnf', [status(esa)], [clause53])).
% 141.14/20.83 thf(zip_derived_cl3770, plain,
% 141.14/20.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 141.14/20.83 (~ (ssList @ X0)
% 141.14/20.83 | ~ (ssItem @ X3)
% 141.14/20.83 | ~ (memberP @ X0 @ X3)
% 141.14/20.83 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 141.14/20.83 | ~ (ssList @ X2)
% 141.14/20.83 | ~ (ssItem @ X3)
% 141.14/20.83 | ~ (ssList @ X1)
% 141.14/20.83 | (ssItem @ X4))),
% 141.14/20.83 inference('demod', [status(thm)],
% 141.14/20.83 [zip_derived_cl3747, zip_derived_cl51, zip_derived_cl52])).
% 141.14/20.83 thf(zip_derived_cl3771, plain,
% 141.14/20.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 141.14/20.83 ( (ssItem @ X4)
% 141.14/20.83 | ~ (ssList @ X1)
% 141.14/20.83 | ~ (ssList @ X2)
% 141.14/20.83 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 141.14/20.83 | ~ (memberP @ X0 @ X3)
% 141.14/20.83 | ~ (ssItem @ X3)
% 141.14/20.83 | ~ (ssList @ X0))),
% 141.14/20.83 inference('simplify', [status(thm)], [zip_derived_cl3770])).
% 141.14/20.83 thf(zip_derived_cl4248, plain,
% 141.14/20.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 141.14/20.83 ( (ssItem @ X2)
% 141.14/20.83 | ~ (ssList @ X0)
% 141.14/20.83 | ~ (ssList @ nil)
% 141.14/20.83 | ((app @ X1 @ sk1) != (X0))
% 141.14/20.83 | ~ (memberP @ X1 @ sk5)
% 141.14/20.83 | ~ (ssItem @ sk5)
% 141.14/20.83 | ~ (ssList @ X1))),
% 141.14/20.83 inference('s_sup-', [status(thm)],
% 141.14/20.83 [zip_derived_cl1721, zip_derived_cl3771])).
% 141.14/20.83 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 141.14/20.83 inference('cnf', [status(esa)], [clause8])).
% 141.14/20.83 thf(zip_derived_cl1532, plain, ((((nil) = (sk1)) | ((hd @ sk1) = (sk5)))),
% 141.14/20.83 inference('s_sup-', [status(thm)],
% 141.14/20.83 [zip_derived_cl1396, zip_derived_cl1530])).
% 141.14/20.83 thf(zip_derived_cl1396, plain, ((((nil) = (sk1)) | (ssItem @ sk5))),
% 141.14/20.83 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl190])).
% 141.14/20.83 thf(zip_derived_cl1721, plain, (((cons @ sk5 @ nil) = (sk1))),
% 141.14/20.83 inference('simplify_reflect-', [status(thm)],
% 141.14/20.83 [zip_derived_cl1720, zip_derived_cl1667])).
% 141.14/20.83 thf(clause120, axiom,
% 141.14/20.83 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 141.14/20.83 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 141.14/20.83 thf(zip_derived_cl119, plain,
% 141.14/20.83 (![X0 : $i, X1 : $i]:
% 141.14/20.83 (~ (ssItem @ X0)
% 141.14/20.83 | ~ (ssList @ X1)
% 141.14/20.83 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 141.14/20.83 inference('cnf', [status(esa)], [clause120])).
% 141.14/20.83 thf(zip_derived_cl1759, plain,
% 141.14/20.83 (![X0 : $i]:
% 141.14/20.83 (~ (ssItem @ sk5)
% 141.14/20.83 | ~ (ssList @ X0)
% 141.14/20.83 | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 141.14/20.83 inference('s_sup+', [status(thm)],
% 141.14/20.83 [zip_derived_cl1721, zip_derived_cl119])).
% 141.14/20.83 thf(zip_derived_cl1954, plain,
% 141.14/20.83 (![X0 : $i]:
% 141.14/20.83 (((nil) = (sk1))
% 141.14/20.83 | ~ (ssList @ X0)
% 141.14/20.83 | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 141.14/20.83 inference('s_sup-', [status(thm)],
% 141.14/20.83 [zip_derived_cl1396, zip_derived_cl1759])).
% 141.14/20.83 thf(zip_derived_cl1667, plain, (((sk1) != (nil))),
% 141.14/20.83 inference('clc', [status(thm)], [zip_derived_cl1655, zip_derived_cl191])).
% 141.14/20.83 thf(zip_derived_cl1955, plain,
% 141.14/20.83 (![X0 : $i]: (~ (ssList @ X0) | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 141.14/20.83 inference('simplify_reflect-', [status(thm)],
% 141.14/20.83 [zip_derived_cl1954, zip_derived_cl1667])).
% 141.14/20.83 thf(clause123, axiom,
% 141.14/20.83 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( nil ) = ( V ) ) |
% 141.14/20.83 ( ( hd @ ( app @ V @ U ) ) = ( hd @ V ) ))).
% 141.14/20.83 thf(zip_derived_cl122, plain,
% 141.14/20.83 (![X0 : $i, X1 : $i]:
% 141.14/20.83 (~ (ssList @ X0)
% 141.14/20.83 | ~ (ssList @ X1)
% 141.14/20.83 | ((nil) = (X1))
% 141.14/20.83 | ((hd @ (app @ X1 @ X0)) = (hd @ X1)))),
% 141.14/20.83 inference('cnf', [status(esa)], [clause123])).
% 141.14/20.83 thf(zip_derived_cl2001, plain,
% 141.14/20.83 (![X0 : $i]:
% 141.14/20.83 (~ (ssList @ X0)
% 141.14/20.83 | ~ (ssList @ X0)
% 141.14/20.83 | ~ (ssList @ sk1)
% 141.14/20.83 | ((nil) = (sk1))
% 141.14/20.83 | ((hd @ (cons @ sk5 @ X0)) = (hd @ sk1)))),
% 141.14/20.83 inference('s_sup+', [status(thm)],
% 141.14/20.83 [zip_derived_cl1955, zip_derived_cl122])).
% 141.14/20.83 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 141.14/20.83 inference('cnf', [status(esa)], [zf_stmt_8])).
% 141.14/20.83 thf(zip_derived_cl2013, plain,
% 141.14/20.83 (![X0 : $i]:
% 141.14/20.83 (~ (ssList @ X0)
% 141.14/20.83 | ~ (ssList @ X0)
% 141.14/20.83 | ((nil) = (sk1))
% 141.14/20.83 | ((hd @ (cons @ sk5 @ X0)) = (hd @ sk1)))),
% 141.14/20.83 inference('demod', [status(thm)], [zip_derived_cl2001, zip_derived_cl185])).
% 141.14/20.83 thf(zip_derived_cl2014, plain,
% 141.14/20.83 (![X0 : $i]:
% 141.14/20.83 (((hd @ (cons @ sk5 @ X0)) = (hd @ sk1))
% 141.14/20.83 | ((nil) = (sk1))
% 141.14/20.83 | ~ (ssList @ X0))),
% 141.14/20.83 inference('simplify', [status(thm)], [zip_derived_cl2013])).
% 141.14/20.83 thf(zip_derived_cl1667, plain, (((sk1) != (nil))),
% 141.14/20.83 inference('clc', [status(thm)], [zip_derived_cl1655, zip_derived_cl191])).
% 141.14/20.83 thf(zip_derived_cl2015, plain,
% 141.14/20.83 (![X0 : $i]: (((hd @ (cons @ sk5 @ X0)) = (hd @ sk1)) | ~ (ssList @ X0))),
% 141.14/20.84 inference('simplify_reflect-', [status(thm)],
% 141.14/20.84 [zip_derived_cl2014, zip_derived_cl1667])).
% 141.14/20.84 thf(zip_derived_cl75, plain,
% 141.14/20.84 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 141.14/20.84 inference('cnf', [status(esa)], [clause76])).
% 141.14/20.84 thf(zip_derived_cl2146, plain,
% 141.14/20.84 (![X0 : $i]:
% 141.14/20.84 (~ (ssList @ X0)
% 141.14/20.84 | ~ (ssList @ (cons @ sk5 @ X0))
% 141.14/20.84 | (ssItem @ (hd @ sk1))
% 141.14/20.84 | ((nil) = (cons @ sk5 @ X0)))),
% 141.14/20.84 inference('s_sup+', [status(thm)], [zip_derived_cl2015, zip_derived_cl75])).
% 141.14/20.84 thf(zip_derived_cl1955, plain,
% 141.14/20.84 (![X0 : $i]: (~ (ssList @ X0) | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 141.14/20.84 inference('simplify_reflect-', [status(thm)],
% 141.14/20.84 [zip_derived_cl1954, zip_derived_cl1667])).
% 141.14/20.84 thf(zip_derived_cl84, plain,
% 141.14/20.84 (![X0 : $i, X1 : $i]:
% 141.14/20.84 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 141.14/20.84 inference('cnf', [status(esa)], [clause85])).
% 141.14/20.84 thf(zip_derived_cl2000, plain,
% 141.14/20.84 (![X0 : $i]:
% 141.14/20.84 (~ (ssList @ X0)
% 141.14/20.84 | ~ (ssList @ X0)
% 141.14/20.84 | ~ (ssList @ sk1)
% 141.14/20.84 | (ssList @ (cons @ sk5 @ X0)))),
% 141.14/20.84 inference('s_sup+', [status(thm)], [zip_derived_cl1955, zip_derived_cl84])).
% 141.14/20.84 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 141.14/20.84 inference('cnf', [status(esa)], [zf_stmt_8])).
% 141.14/20.84 thf(zip_derived_cl2011, plain,
% 141.14/20.84 (![X0 : $i]:
% 141.14/20.84 (~ (ssList @ X0) | ~ (ssList @ X0) | (ssList @ (cons @ sk5 @ X0)))),
% 141.14/20.84 inference('demod', [status(thm)], [zip_derived_cl2000, zip_derived_cl185])).
% 141.14/20.84 thf(zip_derived_cl2012, plain,
% 141.14/20.84 (![X0 : $i]: ( (ssList @ (cons @ sk5 @ X0)) | ~ (ssList @ X0))),
% 141.14/20.84 inference('simplify', [status(thm)], [zip_derived_cl2011])).
% 141.14/20.84 thf(zip_derived_cl2176, plain,
% 141.14/20.84 (![X0 : $i]:
% 141.14/20.84 (((nil) = (cons @ sk5 @ X0))
% 141.14/20.84 | (ssItem @ (hd @ sk1))
% 141.14/20.84 | ~ (ssList @ X0))),
% 141.14/20.84 inference('clc', [status(thm)], [zip_derived_cl2146, zip_derived_cl2012])).
% 141.14/20.84 thf(zip_derived_cl1955, plain,
% 141.14/20.84 (![X0 : $i]: (~ (ssList @ X0) | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 141.14/20.84 inference('simplify_reflect-', [status(thm)],
% 141.14/20.84 [zip_derived_cl1954, zip_derived_cl1667])).
% 141.14/20.84 thf(clause118, axiom,
% 141.14/20.84 (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) |
% 141.14/20.84 ( ~( ssList @ U ) ) | ( ( nil ) = ( U ) ))).
% 141.14/20.84 thf(zip_derived_cl117, plain,
% 141.14/20.84 (![X0 : $i, X1 : $i]:
% 141.14/20.84 (((app @ X0 @ X1) != (nil))
% 141.14/20.84 | ~ (ssList @ X1)
% 141.14/20.84 | ~ (ssList @ X0)
% 141.14/20.84 | ((nil) = (X0)))),
% 141.14/20.84 inference('cnf', [status(esa)], [clause118])).
% 141.14/20.84 thf(zip_derived_cl2003, plain,
% 141.14/20.84 (![X0 : $i]:
% 141.14/20.84 (~ (ssList @ X0)
% 141.14/20.84 | ((cons @ sk5 @ X0) != (nil))
% 141.14/20.84 | ~ (ssList @ X0)
% 141.14/20.84 | ~ (ssList @ sk1)
% 141.14/20.84 | ((nil) = (sk1)))),
% 141.14/20.84 inference('s_sup-', [status(thm)],
% 141.14/20.84 [zip_derived_cl1955, zip_derived_cl117])).
% 141.14/20.84 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 141.14/20.84 inference('cnf', [status(esa)], [zf_stmt_8])).
% 141.14/20.84 thf(zip_derived_cl2019, plain,
% 141.14/20.84 (![X0 : $i]:
% 141.14/20.84 (~ (ssList @ X0)
% 141.14/20.84 | ((cons @ sk5 @ X0) != (nil))
% 141.14/20.84 | ~ (ssList @ X0)
% 141.14/20.84 | ((nil) = (sk1)))),
% 141.14/20.84 inference('demod', [status(thm)], [zip_derived_cl2003, zip_derived_cl185])).
% 141.14/20.84 thf(zip_derived_cl2020, plain,
% 141.14/20.84 (![X0 : $i]:
% 141.14/20.84 (((nil) = (sk1)) | ((cons @ sk5 @ X0) != (nil)) | ~ (ssList @ X0))),
% 141.14/20.84 inference('simplify', [status(thm)], [zip_derived_cl2019])).
% 141.14/20.84 thf(zip_derived_cl1667, plain, (((sk1) != (nil))),
% 141.14/20.84 inference('clc', [status(thm)], [zip_derived_cl1655, zip_derived_cl191])).
% 141.14/20.84 thf(zip_derived_cl2021, plain,
% 141.14/20.84 (![X0 : $i]: (((cons @ sk5 @ X0) != (nil)) | ~ (ssList @ X0))),
% 141.14/20.84 inference('simplify_reflect-', [status(thm)],
% 141.14/20.84 [zip_derived_cl2020, zip_derived_cl1667])).
% 141.14/20.84 thf(zip_derived_cl2177, plain,
% 141.14/20.84 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ sk1)))),
% 141.14/20.84 inference('clc', [status(thm)], [zip_derived_cl2176, zip_derived_cl2021])).
% 141.14/20.84 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 141.14/20.84 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 141.14/20.84 inference('cnf', [status(esa)], [clause13])).
% 141.14/20.84 thf(zip_derived_cl2178, plain, ( (ssItem @ (hd @ sk1))),
% 141.14/20.84 inference('s_sup+', [status(thm)], [zip_derived_cl2177, zip_derived_cl12])).
% 141.14/20.84 thf(zip_derived_cl2246, plain, ((((nil) = (sk1)) | (ssItem @ sk5))),
% 141.14/20.84 inference('s_sup+', [status(thm)],
% 141.14/20.84 [zip_derived_cl1532, zip_derived_cl2178])).
% 141.14/20.84 thf(zip_derived_cl1667, plain, (((sk1) != (nil))),
% 141.14/20.84 inference('clc', [status(thm)], [zip_derived_cl1655, zip_derived_cl191])).
% 141.14/20.84 thf(zip_derived_cl2247, plain, ( (ssItem @ sk5)),
% 141.14/20.84 inference('simplify_reflect-', [status(thm)],
% 141.14/20.84 [zip_derived_cl2246, zip_derived_cl1667])).
% 141.14/20.84 thf(zip_derived_cl4264, plain,
% 141.14/20.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 141.14/20.84 ( (ssItem @ X2)
% 141.14/20.84 | ~ (ssList @ X0)
% 141.14/20.84 | ((app @ X1 @ sk1) != (X0))
% 141.14/20.84 | ~ (memberP @ X1 @ sk5)
% 141.14/20.84 | ~ (ssList @ X1))),
% 141.14/20.84 inference('demod', [status(thm)],
% 141.14/20.84 [zip_derived_cl4248, zip_derived_cl7, zip_derived_cl2247])).
% 141.14/20.84 thf(zip_derived_cl4298, plain,
% 141.14/20.84 (![X0 : $i, X1 : $i]:
% 141.14/20.84 (((nil) = (sk1))
% 141.14/20.84 | (ssItem @ X0)
% 141.14/20.84 | ~ (ssList @ X1)
% 141.14/20.84 | ((app @ sk2 @ sk1) != (X1))
% 141.14/20.84 | ~ (ssList @ sk2))),
% 141.14/20.84 inference('s_sup-', [status(thm)],
% 141.14/20.84 [zip_derived_cl1398, zip_derived_cl4264])).
% 141.14/20.84 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 141.14/20.84 thf(zf_stmt_10, negated_conjecture, (ssList @ sk2),
% 141.14/20.84 inference('cnf.neg', [status(esa)], [co1_2])).
% 141.14/20.84 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 141.14/20.84 inference('cnf', [status(esa)], [zf_stmt_10])).
% 141.14/20.84 thf(zip_derived_cl4303, plain,
% 141.14/20.84 (![X0 : $i, X1 : $i]:
% 141.14/20.84 (((nil) = (sk1))
% 141.14/20.84 | (ssItem @ X0)
% 141.14/20.84 | ~ (ssList @ X1)
% 141.14/20.84 | ((app @ sk2 @ sk1) != (X1)))),
% 141.14/20.84 inference('demod', [status(thm)], [zip_derived_cl4298, zip_derived_cl186])).
% 141.14/20.84 thf(zip_derived_cl1667, plain, (((sk1) != (nil))),
% 141.14/20.84 inference('clc', [status(thm)], [zip_derived_cl1655, zip_derived_cl191])).
% 141.14/20.84 thf(zip_derived_cl4304, plain,
% 141.14/20.84 (![X0 : $i, X1 : $i]:
% 141.14/20.84 ( (ssItem @ X0) | ~ (ssList @ X1) | ((app @ sk2 @ sk1) != (X1)))),
% 141.14/20.84 inference('simplify_reflect-', [status(thm)],
% 141.14/20.84 [zip_derived_cl4303, zip_derived_cl1667])).
% 141.14/20.84 thf(zip_derived_cl4311, plain,
% 141.14/20.84 (![X0 : $i]: (~ (ssList @ (app @ sk2 @ sk1)) | (ssItem @ X0))),
% 141.14/20.84 inference('eq_res', [status(thm)], [zip_derived_cl4304])).
% 141.14/20.84 thf(zip_derived_cl4317, plain,
% 141.14/20.84 (![X0 : $i]: (~ (ssList @ sk2) | ~ (ssList @ sk1) | (ssItem @ X0))),
% 141.14/20.84 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl4311])).
% 141.14/20.84 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 141.14/20.84 inference('cnf', [status(esa)], [zf_stmt_10])).
% 141.14/20.84 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 141.14/20.84 inference('cnf', [status(esa)], [zf_stmt_8])).
% 141.14/20.84 thf(zip_derived_cl4319, plain, (![X0 : $i]: (ssItem @ X0)),
% 141.14/20.84 inference('demod', [status(thm)],
% 141.14/20.84 [zip_derived_cl4317, zip_derived_cl186, zip_derived_cl185])).
% 141.14/20.84 thf(zip_derived_cl4412, plain,
% 141.14/20.84 (![X0 : $i, X1 : $i]:
% 141.14/20.84 (~ (memberP @ X0 @ X1)
% 141.14/20.84 | ~ (ssList @ X0)
% 141.14/20.84 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 141.14/20.84 = (X0)))),
% 141.14/20.84 inference('demod', [status(thm)], [zip_derived_cl168, zip_derived_cl4319])).
% 141.14/20.84 thf(zip_derived_cl1955, plain,
% 141.14/20.84 (![X0 : $i]: (~ (ssList @ X0) | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 141.14/20.84 inference('simplify_reflect-', [status(thm)],
% 141.14/20.84 [zip_derived_cl1954, zip_derived_cl1667])).
% 141.14/20.84 thf(clause149, axiom,
% 141.14/20.84 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 141.14/20.84 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 141.14/20.84 thf(zip_derived_cl148, plain,
% 141.14/20.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 141.14/20.84 (~ (ssList @ X0)
% 141.14/20.84 | ~ (ssList @ X1)
% 141.14/20.84 | ~ (ssList @ X2)
% 141.14/20.84 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 141.14/20.84 inference('cnf', [status(esa)], [clause149])).
% 141.14/20.84 thf(clause173, axiom,
% 141.14/20.84 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 141.14/20.84 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 141.14/20.84 ( segmentP @ X @ V ))).
% 141.14/20.84 thf(zip_derived_cl172, plain,
% 141.14/20.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 141.14/20.84 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 141.14/20.84 | ~ (ssList @ X3)
% 141.14/20.84 | ~ (ssList @ X1)
% 141.14/20.84 | ~ (ssList @ X2)
% 141.14/20.84 | ~ (ssList @ X0)
% 141.14/20.84 | (segmentP @ X0 @ X2))),
% 141.14/20.84 inference('cnf', [status(esa)], [clause173])).
% 141.14/20.84 thf(zip_derived_cl3125, plain,
% 141.14/20.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 141.14/20.84 (~ (ssList @ X2)
% 141.14/20.84 | ~ (ssList @ X1)
% 141.14/20.84 | ~ (ssList @ X0)
% 141.14/20.84 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 141.14/20.84 | ~ (ssList @ X0)
% 141.14/20.84 | ~ (ssList @ X2)
% 141.14/20.84 | ~ (ssList @ X1)
% 141.14/20.84 | ~ (ssList @ X3)
% 141.14/20.84 | (segmentP @ X3 @ X1))),
% 141.14/20.84 inference('s_sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl172])).
% 141.14/20.84 thf(zip_derived_cl3148, plain,
% 141.14/20.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 141.14/20.84 ( (segmentP @ X3 @ X1)
% 141.14/20.84 | ~ (ssList @ X3)
% 141.14/20.84 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 141.14/20.84 | ~ (ssList @ X0)
% 141.14/20.84 | ~ (ssList @ X1)
% 141.14/20.84 | ~ (ssList @ X2))),
% 141.14/20.84 inference('simplify', [status(thm)], [zip_derived_cl3125])).
% 141.14/20.84 thf(zip_derived_cl6581, plain,
% 141.14/20.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 141.14/20.84 (~ (ssList @ X0)
% 141.14/20.84 | (segmentP @ X1 @ sk1)
% 141.14/20.84 | ~ (ssList @ X1)
% 141.14/20.84 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 141.14/20.84 | ~ (ssList @ X0)
% 141.14/20.84 | ~ (ssList @ sk1)
% 141.14/20.84 | ~ (ssList @ X2))),
% 141.14/20.84 inference('s_sup-', [status(thm)],
% 141.14/20.84 [zip_derived_cl1955, zip_derived_cl3148])).
% 141.14/20.84 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 141.14/20.84 inference('cnf', [status(esa)], [zf_stmt_8])).
% 141.14/20.84 thf(zip_derived_cl6612, plain,
% 141.14/20.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 141.14/20.84 (~ (ssList @ X0)
% 141.14/20.84 | (segmentP @ X1 @ sk1)
% 141.14/20.84 | ~ (ssList @ X1)
% 141.14/20.84 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 141.14/20.84 | ~ (ssList @ X0)
% 141.14/20.84 | ~ (ssList @ X2))),
% 141.14/20.84 inference('demod', [status(thm)], [zip_derived_cl6581, zip_derived_cl185])).
% 141.14/20.84 thf(zip_derived_cl6613, plain,
% 141.14/20.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 141.14/20.84 (~ (ssList @ X2)
% 141.14/20.84 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 141.14/20.84 | ~ (ssList @ X1)
% 141.14/20.84 | (segmentP @ X1 @ sk1)
% 141.14/20.84 | ~ (ssList @ X0))),
% 141.14/20.84 inference('simplify', [status(thm)], [zip_derived_cl6612])).
% 141.14/20.84 thf(zip_derived_cl56466, plain,
% 141.14/20.84 (![X0 : $i, X1 : $i]:
% 141.14/20.84 (~ (ssList @ X0)
% 141.14/20.84 | ~ (memberP @ X0 @ sk5)
% 141.14/20.84 | ~ (ssList @ (skaf42 @ X0 @ sk5))
% 141.14/20.84 | ((X0) != (X1))
% 141.14/20.84 | ~ (ssList @ X1)
% 141.14/20.84 | (segmentP @ X1 @ sk1)
% 141.14/20.84 | ~ (ssList @ (skaf43 @ sk5 @ X0)))),
% 141.14/20.84 inference('s_sup-', [status(thm)],
% 141.14/20.84 [zip_derived_cl4412, zip_derived_cl6613])).
% 141.14/20.84 thf(zip_derived_cl52, plain,
% 141.14/20.84 (![X0 : $i, X1 : $i]: (ssList @ (skaf42 @ X0 @ X1))),
% 141.14/20.84 inference('cnf', [status(esa)], [clause53])).
% 141.14/20.84 thf(zip_derived_cl51, plain,
% 141.14/20.84 (![X0 : $i, X1 : $i]: (ssList @ (skaf43 @ X0 @ X1))),
% 141.14/20.84 inference('cnf', [status(esa)], [clause52])).
% 141.14/20.84 thf(zip_derived_cl56506, plain,
% 141.14/20.84 (![X0 : $i, X1 : $i]:
% 141.14/20.84 (~ (ssList @ X0)
% 141.14/20.84 | ~ (memberP @ X0 @ sk5)
% 141.14/20.84 | ((X0) != (X1))
% 141.14/20.84 | ~ (ssList @ X1)
% 141.14/20.84 | (segmentP @ X1 @ sk1))),
% 141.14/20.84 inference('demod', [status(thm)],
% 141.14/20.84 [zip_derived_cl56466, zip_derived_cl52, zip_derived_cl51])).
% 141.14/20.84 thf(zip_derived_cl57057, plain,
% 141.14/20.84 (![X0 : $i]:
% 141.14/20.84 ( (segmentP @ X0 @ sk1)
% 141.14/20.84 | ~ (ssList @ X0)
% 141.14/20.84 | ~ (memberP @ X0 @ sk5)
% 141.14/20.84 | ~ (ssList @ X0))),
% 141.14/20.84 inference('eq_res', [status(thm)], [zip_derived_cl56506])).
% 141.14/20.84 thf(zip_derived_cl57058, plain,
% 141.14/20.84 (![X0 : $i]:
% 141.14/20.84 (~ (memberP @ X0 @ sk5) | ~ (ssList @ X0) | (segmentP @ X0 @ sk1))),
% 141.14/20.84 inference('simplify', [status(thm)], [zip_derived_cl57057])).
% 141.14/20.84 thf(clause100, axiom,
% 141.14/20.84 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 141.14/20.84 ( ( V ) = ( U ) ))).
% 141.14/20.84 thf(zip_derived_cl99, plain,
% 141.14/20.84 (![X0 : $i, X1 : $i]:
% 141.14/20.84 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 141.14/20.84 inference('cnf', [status(esa)], [clause100])).
% 141.14/20.84 thf(co1_16, conjecture,
% 141.14/20.84 (~( ( ~( segmentP @ sk2 @ sk1 ) ) | ( ~( neq @ sk1 @ nil ) ) ))).
% 141.14/20.84 thf(zf_stmt_11, negated_conjecture,
% 141.14/20.84 (( ~( segmentP @ sk2 @ sk1 ) ) | ( ~( neq @ sk1 @ nil ) )),
% 141.14/20.84 inference('cnf.neg', [status(esa)], [co1_16])).
% 141.14/20.84 thf(zip_derived_cl200, plain,
% 141.14/20.84 ((~ (segmentP @ sk2 @ sk1) | ~ (neq @ sk1 @ nil))),
% 141.14/20.84 inference('cnf', [status(esa)], [zf_stmt_11])).
% 141.14/20.84 thf(zip_derived_cl1359, plain,
% 141.14/20.84 ((((sk1) = (nil))
% 141.14/20.84 | ~ (ssList @ sk1)
% 141.14/20.84 | ~ (ssList @ nil)
% 141.14/20.84 | ~ (segmentP @ sk2 @ sk1))),
% 141.14/20.84 inference('dp-resolution', [status(thm)],
% 141.14/20.84 [zip_derived_cl99, zip_derived_cl200])).
% 141.14/20.84 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 141.14/20.84 inference('cnf', [status(esa)], [zf_stmt_8])).
% 141.14/20.84 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 141.14/20.84 inference('cnf', [status(esa)], [clause8])).
% 141.14/20.84 thf(zip_derived_cl1399, plain,
% 141.14/20.84 ((((sk1) = (nil)) | ~ (segmentP @ sk2 @ sk1))),
% 141.14/20.84 inference('demod', [status(thm)],
% 141.14/20.84 [zip_derived_cl1359, zip_derived_cl185, zip_derived_cl7])).
% 141.14/20.84 thf(zip_derived_cl57092, plain,
% 141.14/20.84 ((~ (ssList @ sk2) | ~ (memberP @ sk2 @ sk5) | ((sk1) = (nil)))),
% 141.14/20.84 inference('s_sup-', [status(thm)],
% 141.14/20.84 [zip_derived_cl57058, zip_derived_cl1399])).
% 141.14/20.84 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 141.14/20.84 inference('cnf', [status(esa)], [zf_stmt_10])).
% 141.14/20.84 thf(zip_derived_cl57125, plain,
% 141.14/20.84 ((~ (memberP @ sk2 @ sk5) | ((sk1) = (nil)))),
% 141.14/20.84 inference('demod', [status(thm)],
% 141.14/20.84 [zip_derived_cl57092, zip_derived_cl186])).
% 141.14/20.84 thf(zip_derived_cl1667, plain, (((sk1) != (nil))),
% 141.14/20.84 inference('clc', [status(thm)], [zip_derived_cl1655, zip_derived_cl191])).
% 141.14/20.84 thf(zip_derived_cl57126, plain, (~ (memberP @ sk2 @ sk5)),
% 141.14/20.84 inference('simplify_reflect-', [status(thm)],
% 141.14/20.84 [zip_derived_cl57125, zip_derived_cl1667])).
% 141.14/20.84 thf(zip_derived_cl57212, plain, (((nil) = (sk2))),
% 141.14/20.84 inference('s_sup-', [status(thm)],
% 141.14/20.84 [zip_derived_cl1397, zip_derived_cl57126])).
% 141.14/20.84 thf(clause71, axiom, (( ~( memberP @ nil @ U ) ) | ( ~( ssItem @ U ) ))).
% 141.14/20.84 thf(zip_derived_cl70, plain,
% 141.14/20.84 (![X0 : $i]: (~ (memberP @ nil @ X0) | ~ (ssItem @ X0))),
% 141.14/20.84 inference('cnf', [status(esa)], [clause71])).
% 141.14/20.84 thf(zip_derived_cl4319, plain, (![X0 : $i]: (ssItem @ X0)),
% 141.14/20.84 inference('demod', [status(thm)],
% 141.14/20.84 [zip_derived_cl4317, zip_derived_cl186, zip_derived_cl185])).
% 141.14/20.84 thf(zip_derived_cl4377, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 141.14/20.84 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl4319])).
% 141.14/20.84 thf(zip_derived_cl57269, plain, ($false),
% 141.14/20.84 inference('demod', [status(thm)],
% 141.14/20.84 [zip_derived_cl57209, zip_derived_cl57212, zip_derived_cl4377])).
% 141.14/20.84
% 141.14/20.84 % SZS output end Refutation
% 141.14/20.84
% 141.14/20.84
% 141.14/20.84 % Terminating...
% 141.14/20.96 % Runner terminated.
% 141.14/20.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------